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Finding the Third Proportional to 50,739.75 and 68,455.13

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Solution

The third proportional to 50,739.75 and 68,455.13 is: 92,355.68

Step by Step Solution

  1. Step 1: Write the proportion equation
    50,739.75 : 68,455.13 = 68,455.13 : x
  2. Step 2: Convert to fraction form
    50,739.75/68,455.13 = 68,455.13/x
  3. Step 3: Cross multiply
    50,739.75x = 68,455.13 × 68,455.13
  4. Step 4: Simplify right side
    50,739.75x = 4,686,104,138.77
  5. Step 5: Solve for x
    x = 4,686,104,138.77/50,739.75
  6. Step 6: Final answer
    x = 92,355.68

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Why These Related Problems?

These problems maintain the same ratio (1.35) or explore similar proportional relationships. Practicing with related ratios helps build understanding of proportional relationships.